SOLUTION: In a normal density curve- The mean height for women is 163cm with a standard deviation of 10cm. The shortest 10% of these women are below what height?

Algebra ->  Statistics  -> Density-curves-and-normal-distributions -> SOLUTION: In a normal density curve- The mean height for women is 163cm with a standard deviation of 10cm. The shortest 10% of these women are below what height?      Log On


   

Question 984263: In a normal density curve- The mean height for women is 163cm with a standard deviation of 10cm.
The shortest 10% of these women are below what height?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Use the InvNorm function on the TI83 calculator to find that

invNorm(0.10) = -1.282

The z score z = -1.282 will be used to find the raw x score

z = (x - mu)/sigma
-1.281 = (x - 163)/10
-1.281*10 = x - 163
-1.2810 = x - 163
-1.2810 + 163 = x
161.719 = x
x = 161.719

Rounded to the nearest inch, about 10% of the women are below the height of 162 cm

Note: 162 cm = 63.7795 inches = 5 feet, 3.7795 inches (approximately)